A new design of delay-dependent robust H∞filtering for discrete-time T-S fuzzy systems with time-varying delay

  • Authors:

  • Jianbin Qiu;Gang Feng;Jie Yang

  • Affiliations:

  • Department of Manufacturing Engineering and Engineering Management, University of Science and Technology of China and City University of Hong Kong, Joint Advanced Research Center, Suzhou, China;Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Kowloon, Hong Kong;Department of Precision Machinery and Precision Instrumentation, University of Science and Technology of China, Hefei, China

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 2009

Quantified Score

Hi-index 0.00

Visualization

Abstract

This paper investigates the problem of delay-dependent robust H∞ filtering design for a class of uncertain discrete-time state-delayed Takagi-Sugeno (T-S) fuzzy systems. The state delay is assumed to be time-varying and of an interval-like type, which means that both the lower and upper bounds of the time-varying delay are available. The parameter uncertainties are assumed to have a structured linear fractional form. Based on a novel fuzzy-basis-dependent Lyapunov-Krasovskii functional combined with Finsler's lemma and an improved free-weighting matrix technique for delay-dependent criteria, a new sufficient condition for robust H∞ performance analysis is first derived, and then, the filter synthesis is developed. It is shown that by using a simple linearization technique incorporating a bounding inequality, a unified framework can be developed such that both the full-order and reduced-order filters can be obtained by solving a set of linear matrix inequalities (LMIs), which are numerically efficient with commercially available software. Finally, simulation examples are provided to illustrate the advantages and less conservatism of the proposed approach.